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Results (7 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
539.1.c.a 539.c 11.b $1$ $0.269$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-11}) \) \(\Q(\sqrt{77}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{4}-q^{9}+q^{11}+q^{16}-2q^{23}+\cdots\)
539.1.h.a 539.h 77.h $2$ $0.269$ \(\Q(\sqrt{-3}) \) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-11}) \) \(\Q(\sqrt{77}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{9}+\zeta_{6}^{2}q^{11}-\zeta_{6}q^{16}+\cdots\)
1463.1.h.a 1463.h 1463.h $1$ $0.730$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-1463}) \) \(\Q(\sqrt{77}) \) \(0\) \(0\) \(0\) \(-1\) \(q-q^{4}-q^{7}-q^{9}+q^{11}+q^{16}+2q^{17}+\cdots\)
1463.1.h.b 1463.h 1463.h $1$ $0.730$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-1463}) \) \(\Q(\sqrt{77}) \) \(0\) \(0\) \(0\) \(1\) \(q-q^{4}+q^{7}-q^{9}+q^{11}+q^{16}-2q^{17}+\cdots\)
1925.1.l.a 1925.l 385.l $4$ $0.961$ \(\Q(\zeta_{8})\) $D_{2}$ \(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{77}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{4}-\zeta_{8}q^{7}-\zeta_{8}^{2}q^{9}-q^{11}+\cdots\)
2849.1.p.b 2849.p 2849.p $2$ $1.422$ \(\Q(\sqrt{-1}) \) $D_{4}$ None \(\Q(\sqrt{77}) \) \(0\) \(0\) \(0\) \(-2\) \(q-iq^{4}-q^{7}-q^{9}+iq^{11}+(1+i+\cdots)q^{13}+\cdots\)
2849.1.p.c 2849.p 2849.p $2$ $1.422$ \(\Q(\sqrt{-1}) \) $D_{4}$ None \(\Q(\sqrt{77}) \) \(0\) \(0\) \(0\) \(2\) \(q-iq^{4}+q^{7}-q^{9}+iq^{11}+(-1-i+\cdots)q^{13}+\cdots\)
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